Base | Representation |
---|---|
bin | 1010001010110001001… |
… | …00010010000011111110 |
3 | 1020101210202211101112000 |
4 | 11011120210102003332 |
5 | 21211011313212100 |
6 | 424300244323130 |
7 | 34145630120616 |
oct | 5053044220376 |
9 | 1211722741460 |
10 | 349378257150 |
11 | 125196a1078a |
12 | 578660a34a6 |
13 | 26c3bb2c250 |
14 | 12ca5069a46 |
15 | 914c68d900 |
hex | 51589120fe |
349378257150 has 192 divisors, whose sum is σ = 1037544426240. Its totient is φ = 85938019200.
The previous prime is 349378257143. The next prime is 349378257157. The reversal of 349378257150 is 51752873943.
349378257150 is a `hidden beast` number, since 3 + 4 + 9 + 378 + 257 + 15 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (349378257143) and next prime (349378257157).
It is a super-2 number, since 2×3493782571502 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (349378257157) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26862549 + ... + 26875551.
It is an arithmetic number, because the mean of its divisors is an integer number (5403877220).
Almost surely, 2349378257150 is an apocalyptic number.
349378257150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 349378257150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518772213120).
349378257150 is an abundant number, since it is smaller than the sum of its proper divisors (688166169090).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
349378257150 is a wasteful number, since it uses less digits than its factorization.
349378257150 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14568 (or 14557 counting only the distinct ones).
The product of its (nonzero) digits is 6350400, while the sum is 54.
The spelling of 349378257150 in words is "three hundred forty-nine billion, three hundred seventy-eight million, two hundred fifty-seven thousand, one hundred fifty".
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